moire_align op• Data kinds: image2d → table
• Call: import fullseye as fs; fs.ledger.moire_phase(image, period_px=None, axis=1, region=None, window='hann', method='lockin') (to call the implementation directly, import moirealign; moirealign.moire_phase(image, period_px=None, axis=1, region=None, window='hann', method='lockin'); from the registry, opsoptics.get("moire_phase"))
Reads the fringe phase (referenced to the image origin x = 0), its amplitude and the number of fringes.
> The detailed description below is the original text — the summary and the headings are translated.
method="lockin": 区画を縞に沿って平均した 1 次元の輪郭に、既知の周期 period_px の (1, cos, sin) を窓の重みで最小二乗に当てる(複素復調 Σ w(x) p(x) e^{−i2πx/P} と同じ量を、縞の本数が整数でないときの負の周波数の漏れまで含めて解いたもの。正弦 1 本 + 直流なら厳密)。窓 "hann" は照明むら・高調波の漏れを抑えるが、雑音の分散は一様窓の約 1.5 倍(moire_phase_crlb に同じ係数)。window="none" は白色雑音だけなら最良。method="fft": Takeda ら(1982)の FFT 法 —— complexops.cx_fft の側帯域だけを残して逆変換し、位相の地図を complexops.phase_unwrap で繋ぐ。地図の傾きから周期を測り直す(period_fit_px、倍率や回転の誤差が見える)。period_px を省くと輪郭の FFT の山を放物線で補間して推定する(period_estimated = True)。
region = (r0, r1, c0, c1)(省略で全面)、axis = 1 は縞が x に並ぶ(線は縦)、0 は y に並ぶ。
返り値: dict(phase_rad(−π..π)、amplitude(縞の余弦の振幅)、mean、n_fringes、period_px、period_estimated、fft のときは period_fit_px と phase_map も)。Raises ValueError: 2 次元でない・NaN/Inf、period_px < 2(ナイキスト超え)、区画に縞が 1 周期未満、区画が空、綴り違い。
Every optics op validates its input before computing (nothing slips through silently):
• Units are baked into the argument name — _mm / _um / _deg / _mrad. Confusing mm with µm does not crash; it yields a plausible-looking wrong answer, so the name prevents it. Nothing here guesses the unit from the magnitude.
• Strings raise ValueError — float('50') succeeds, so an unparsed configuration value would slip through as a length (measured: thin_lens('50', '200') returned a plausible 66.667 mm). bool is refused too, as the implicit promotion True == 1.
• complex / masked arrays raise ValueError (real-valued slots only; silently dropping the imaginary part or peeling off the mask is refused). NaN/Inf raises ValueError on every input.
• Division by zero and its relatives are refused by name: focal length 0, radius of curvature 0, refractive index <= 0, a fully opaque aperture (all zeros, so the normalisation is 0/0), a PSF whose sum is <= 0, a Stokes vector with S0 = 0, and an object sitting at the front focal point (the image is at infinity).
• Only two ops return a non-finite value, and both state it as a contract: depth_of_field returns far_mm = inf beyond the hyperfocal distance (that is what the hyperfocal distance means), and gaussian_beam returns wavefront_radius_mm = inf at the waist (the radius of curvature of a plane wavefront). Both also return a finite companion (far_is_infinite / curvature_per_mm). Any other silent NaN/Inf is detected internally and raises ValueError — "float64 overflowed" and "the answer is infinite" are different claims, so the first is never returned wearing the face of the second.
• Size caps: generated grids are capped by optics.MAX_GRID (4096); supplied fields/PSFs/apertures by optics.MAX_FIELD_ELEMENTS (2^24); ABCD element chains by optics.MAX_SYSTEM_ELEMENTS (1024); Zernike by MAX_ZERNIKE_TERMS (512) / MAX_ZERNIKE_ORDER (40) / MAX_ZERNIKE_BASIS (2^25). This closes, fail-closed, the paths where a small argument triggers a huge internal allocation (measured: n_max=40 × 4096² needs 108 GB).
• Physically impossible states are refused too: a Stokes vector with degree of polarisation > 1, negative transmittance, negative intensity, and invalid Zernike indices such as n-|m| odd.
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• The canonical algorithm (author, year) and its uses are named in the family usage guide above.
• poc_moire_alignment — py -3.11 examples/poc_moire_alignment.py
• poc_moire_screen — py -3.11 examples/poc_moire_screen.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
moire_align)moire_magnification · moire_talbot_gap · moire_overlay_image · moire_phase_to_shift · moire_differential_shift · moire_mark_read · moire_phase_crlb
*Provenance: moirealign.py — OPTICS operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.